Can you help me solve by factoring:
x^2 - 13x = -12
x^2-13x+12=0
(x-??)(x-??)
To help you find the answer to Ted's "??", ask yourself what numbers will add to -13, but still give you the product of +12.
I hope this helps a little more. Thanks for asking.
Of course! To solve the equation x^2 - 13x = -12 by factoring, we need to rearrange the equation so that one side equals zero. Here's how you can do it step by step:
Step 1: Move all terms to one side
x^2 - 13x + 12 = 0
Step 2: Factorize the quadratic expression on the left side. We are looking for two numbers whose product is equal to the constant term (+12) and whose sum is equal to the coefficient of the x term (-13). The numbers that satisfy this condition are -1 and -12.
(x - 1)(x - 12) = 0
Step 3: Set each factor equal to zero and solve for x.
x - 1 = 0 or x - 12 = 0
Step 4: Solve each equation separately.
For x - 1 = 0, adding 1 to both sides gives:
x = 1
For x - 12 = 0, adding 12 to both sides gives:
x = 12
So the solutions to the equation x^2 - 13x = -12 are x = 1 and x = 12.
By factoring the quadratic expression, we were able to find the solutions to the equation.